20616140248704 has 1344 divisors, whose sum is σ = 84158114654880. Its totient is φ = 4942773964800.

The previous prime is 20616140248679. The next prime is 20616140248747. The reversal of 20616140248704 is 40784204161602.

20616140248704 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 614 + 0 + 24 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 20616140248704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 653821419 + ... + 653852949.

Almost surely, 2^{20616140248704} is an apocalyptic number.

20616140248704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20616140248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42079057327440).

20616140248704 is an abundant number, since it is smaller than the sum of its proper divisors (63541974406176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20616140248704 is a wasteful number, since it uses less digits than its factorization.

20616140248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601 (or 31567 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20616140248704 in words is "twenty trillion, six hundred sixteen billion, one hundred forty million, two hundred forty-eight thousand, seven hundred four".